Element orders in covers of finite simple groups.

DOI10.1007/s10469-013-9255-4zbMath1329.20033OpenAlexW2053845663MaRDI QIDQ893084

Mariya A. Grechkoseeva

Publication date: 13 November 2015

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-013-9255-4

zbMATH Keywords

finite simple groupsrecognition by spectrasets of element ordersspectra of groupsisospectral groupsrecognizable groupsproper covers of groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

Unrecognizability by spectrum for the finite simple group \(^3D_4(2)\).

Cites Work

• Recognizability of groups \(G_2(q)\) by spectrum.
• On element orders in covers of finite simple classical groups.
• Unrecognizability by spectrum for the finite simple group \(^3D_4(2)\).
• The characterization of Ree groups \(^2F_4(q)\) by their element orders
• A characterization of finite simple groups with abelian Sylow \(2\)-subgroups
• Properties of element orders in covers for L(n,q) and U(n,q)
• A Characterization of Suzuki's Simple Groups
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